diff options
Diffstat (limited to 'theories/FSets/FSetFacts.v')
| -rw-r--r-- | theories/FSets/FSetFacts.v | 10 |
1 files changed, 8 insertions, 2 deletions
diff --git a/theories/FSets/FSetFacts.v b/theories/FSets/FSetFacts.v index d8c0b802..aa57f066 100644 --- a/theories/FSets/FSetFacts.v +++ b/theories/FSets/FSetFacts.v @@ -6,7 +6,7 @@ (* * GNU Lesser General Public License Version 2.1 *) (***********************************************************************) -(* $Id: FSetFacts.v 8681 2006-04-05 11:56:14Z letouzey $ *) +(* $Id: FSetFacts.v 8882 2006-05-31 21:55:30Z letouzey $ *) (** * Finite sets library *) @@ -131,7 +131,7 @@ Proof. split; [apply exists_1 | apply exists_2]; auto. Qed. -Lemma elements_iff : In x s <-> ME.In x (elements s). +Lemma elements_iff : In x s <-> InA E.eq x (elements s). Proof. split; [apply elements_1 | apply elements_2]. Qed. @@ -159,6 +159,12 @@ generalize (mem_iff s x) (mem_iff s y)(In_eq_iff s H). destruct (mem x s); destruct (mem y s); intuition. Qed. +Lemma empty_b : mem y empty = false. +Proof. +generalize (empty_iff y)(mem_iff empty y). +destruct (mem y empty); intuition. +Qed. + Lemma add_b : mem y (add x s) = eqb x y || mem y s. Proof. generalize (mem_iff (add x s) y)(mem_iff s y)(add_iff s x y); unfold eqb. |